100420111 has 16 divisors (see below), whose sum is σ = 118137600. Its totient is φ = 84369600.

The previous prime is 100420097. The next prime is 100420141. The reversal of 100420111 is 111024001.

It is a cyclic number.

It is not a de Polignac number, because 100420111 - 2⁵ = 100420079 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100420141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2710 + ... + 14428.

It is an arithmetic number, because the mean of its divisors is an integer number (7383600).

Almost surely, 2^100420111 is an apocalyptic number.

100420111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100420111 is a deficient number, since it is larger than the sum of its proper divisors (17717489).

100420111 is a wasteful number, since it uses less digits than its factorization.

100420111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11790.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 100420111 is about 10020.9835345639. The cubic root of 100420111 is about 464.8079694229.

Adding to 100420111 its reverse (111024001), we get a palindrome (211444112).

It can be divided in two parts, 1004 and 20111, that added together give a triangular number (21115 = T₂₀₅).

The spelling of 100420111 in words is "one hundred million, four hundred twenty thousand, one hundred eleven".